Details

Time bar (total: 14.4s)

sample111.0ms

Algorithm
intervals
Results
22.0ms305×body80nan
21.0ms148×body160valid
19.0ms561×pre80true
8.0ms108×body80valid

simplify113.0ms

Counts
1 → 1
Iterations
IterNodes
done94
794
693
591
483
368
239
121
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
27.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite548.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
pow1
add-log-exp
add-cube-cbrt
times-frac associate-/l* difference-of-squares
prod-exp cbrt-unprod
flip3-- associate-*r* pow-prod-down sqrt-prod flip-- distribute-lft-out--
cbrt-undiv sub-neg diff-log div-exp associate-/l/
clear-num associate-/r* frac-2neg div-sub associate-*l* *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
18.0ms
(* (* 3.0 a) c)
12.0ms
(- (* b b) (* (* 3.0 a) c))
99.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
417.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series372.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
62.0ms
(- (* b b) (* (* 3.0 a) c))
171.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
115.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.7s

Counts
87 → 87
Iterations
IterNodes
done5001
21434
1416
0155

prune692.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.4b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune152.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 9.4b

localize28.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
49×add-cbrt-cube add-exp-log
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
times-frac associate-*r*
pow1
associate-/r*
associate-*l* div-inv add-log-exp
clear-num frac-2neg associate-*r/ associate-/l*
pow-prod-down *-commutative unswap-sqr associate-/l/
Counts
3 → 78
Calls
3 calls:
20.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
35.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series107.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (* a c) b)
35.0ms
(* -1.5 (/ (* a c) b))
40.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.6s

Counts
87 → 87
Iterations
IterNodes
done5010
22219
1371
0123

prune653.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(* -1.5 (/ a (/ b c)))
0.4b
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×*-un-lft-identity add-cube-cbrt
49×add-cbrt-cube add-exp-log
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
pow1
associate-/l*
associate-*l* add-log-exp unswap-sqr
clear-num frac-2neg associate-*r/ associate-/r/
pow-prod-down *-commutative associate-/l/
Counts
3 → 166
Calls
3 calls:
14.0ms
(/ a (/ b c))
26.0ms
(* -1.5 (/ a (/ b c)))
16.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series110.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ a (/ b c))
36.0ms
(* -1.5 (/ a (/ b c)))
37.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify1.9s

Counts
175 → 175
Iterations
IterNodes
done5004
23308
1764
0266

prune836.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 9.3b

regimes1.6s

Accuracy

44.5% (7.7b remaining)

Error of 16.8b against oracle of 9.1b and baseline of 23.0b

bsearch28.0ms

Steps
ItersRangePoint
2
59.54081762261222
70.62772712067056
60.5124483648276

simplify8.0ms

Iterations
IterNodes
done37
137
028

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.2s8725×body80nan
659.0ms4433×body160valid
593.0ms16725×pre80true
344.0ms3566×body80valid
0.0msbody320valid